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Intercepts of $$$6 x^{2} - 22 \sqrt{2} x + 8 y^{2} + 24 \sqrt{2} y + 71 = 0$$$

The calculator will find the the x- and y-intercepts of $$$6 x^{2} - 22 \sqrt{2} x + 8 y^{2} + 24 \sqrt{2} y + 71 = 0$$$, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

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Your Input

Find find the x- and y-intercepts of $$$6 x^{2} - 22 \sqrt{2} x + 8 y^{2} + 24 \sqrt{2} y + 71 = 0$$$.

Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$6 x^{2} - 22 \sqrt{2} x + 71 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$8 y^{2} + 24 \sqrt{2} y + 71 = 0$$$ for $$$y$$$ (use the equation solver).

Answer

No x-intercepts.

No y-intercepts.

Graph: see the graphing calculator.


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